The length of a rectangle is represented by the function L(x) = 4x. The width of that same rectangle is represented by the function W(x) = 7x2 − 4x + 2. Which of the following shows the area of the rectangle in terms of x? (L + W)(x) = 7x2 + 2 (L + W)(x) = 7x2 − 8x + 2 (L • W)(x) = 28x3 − 16x2 + 8x (L • W)(x) = 28x3 − 4x + 2

Answer:

Step-by-step explanation:

Answer:

170

Step-by-step explanation:

17/7

Multiply the top and bottom by 10

17*10/ 7*10  =170/70

The fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

The given fraction is[tex]\frac{17}{7}[/tex].

Convert the fraction with a denominator of 70.

To do this, multiply the numerator and denominator by 10:

[tex]\frac{17}{7} \times \frac{10}{10}[/tex]

[tex]=\frac{17 \times 10}{7 \times 10}[/tex]

[tex]=\frac{170}{70}[/tex]

Hence, the fraction with the indicated denominator 70 is [tex]\frac{170}{70}[/tex].

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Answer:

question 11: A

question 12: B

Step-by-step explanation:

Thanks calculator :)

Answer:

11. less than

12.less than

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

The lateral surface area is:

[tex]\\ \tt\longmapsto SA=2\pi rh[[/te]

[tex]\\ \tt\longmapsto SA=2\times 22}{7}\times (2.5)(9.25)[/tex]

[tex]\\ \tt\longmapsto SA=145.23in^2[/tex]

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

Step-by-step explanation:

y = 8 - x

12 = 8 - 4

12 = 4 (impossible)

Answer:

$36,400

Step-by-step explanation:

Mr Jamison deposited $100 in January

February=3*100=$300

March=3{3(100)=3^2(100)=9*100=$900

April=3^3(100)=27*100=$2,700

May=3^4(100)=81*100=$8,100

June=3^5(100)=243*100=$24,300

Total amount=$100 + $300 + $900 + $2700 + $8100 + $24300

=$36,400

The total amount deposited by Mr Jamison on June 15 is $36,400

Answer:

y<−13

y−9>4+2y

Simplify both sides of the inequality

y−9>2y+4

Subtract 2y from both sides

y−9−2y>2y+4−2y

−y−9>4

Add 9 to both sides.

−y−9+9>4+9

−y>13

The divide both sides by -1

Answer:

[tex]\boxed{y < -13}[/tex]

Step-by-step explanation:

Hey there!

To solve for y we‘ll combine like terms and use the communicative property.

y - 9 > 4 + 2y

+9 to both sides

y > 13 + 2y

-2y to both sides

-y > 13

Divide -1 by both sides

y < -13

Hope this helps :)

The answer to C is 1.5 or 3/2

Since we know that 2x is equal to 3 because the solution is three and 3+3=6 then we divide 3 by 2 to get 3/2

Step-by-step explanation:

30-option c

because only crows r black in appearance

31-option d

thats the option which represents the question asked

Answer:

540°

Step-by-step explanation:

90 revolutions = 360°×90 = 32400°

32400° in 60 sec or 1 min

so, in 1 sec 32400/60 = 540°

Answer:

540°

Step-by-step explanation:  

90 revolutions = 360°×90 = 32400°  

=> 32400° in 60 sec or 1 min  

=> In 1 sec,

=> 32400/60 = 540°

Hi, I'm happy to help!

for a box an whisker plot, maximum and minimum values on the edge of the lines. The maximum shown here is 8, because the line ends there. The minimum is -8 because the line ends there.

The median value is shown by the middle line, which is 4.

To sum it up: Maximum: 8, Minimum: -8, Median: 4\

I hope this was helpful, keep learning! :D

Answer:

B = 15.1°, C = 34.9°, c = 39.6

Step-by-step explanation:

law of sines

53/sin 130 = 18/sin B

sin B = .26;   B = 15.1°

C = 180 - 15.1 - 130 = 34.9°

c/sin 34.9 = 53/sin 130

c = 39.6

Answer:

B. $18.00

Step-by-step explanation

160/4 divide 160 by 4 to see how much Miss Adams makes and hour

She makes $4 an hour

multiply this ($4) by her idle time (4.5) hours to get $18

Based on the triangle midsegment theorem, the length of QT is calculated as: B. 44 cm.

Using the image above as a reference, the triangle midsegment theorem states the length of the midsegment US, of triangle QRT is parallel to the third side, segment QT, and therefore has a length that is half of the length of segment QT.

Given that US is a midsegment in triangle QRT, and it is equal to 22 cm, therefore, we can find the length of the third side it is parallel to, side QT by  applying the triangle midsegment theorem as explained below:

The length of US = 1/2(the length of QT)

Substitute

22 = 1/2(QT)

Multiply both sides by 2

2(22) = QT

44 = QT

QT = 44 cm

Therefore, the answer is: B. 44 cm.

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Answer:

B. 44 cm.

Step-by-step explanation:

Answer:

The value of k is 16, the angle of OLN and MNL is 72° .

Step-by-step explanation:

Given that alternate interior angles are the same. So we can assume that ∠OLN and ∠MNL have the same angle. In order to find k, we have to let ∠OLN = ∠MNL :

[tex]4k + 8 = 5k - 8[/tex]

[tex]5k - 4k = 8 + 8[/tex]

[tex]k = 16[/tex]

Next, we have to find the angle of OLN and MNL :

[tex]OLN = 4k + 8 = 4(16) + 8 = 72[/tex]

[tex]MNL = 5k - 8 = 5(16) - 8 = 72[/tex]

Answer:

[tex]36 + 35 = 71[/tex]

Step-by-step explanation:

[tex]3 + 5 + 4 = 12 \\ \\ 3 \times 3 = 9 \\ 5 \times 3 = 15 \\ 4 \times 3 = 12 \\ 9 + 15 + 12 = 36[/tex]

Answer:71 is correct

Step-by-step explanation:

3+5+4=12

3*3=9

5*3=15

4*3=12

9+5+12=36

36+35=71

Answer:

B. First quartile

Step-by-step explanation:

The first quartile is the first 25% of a line graph, and the median of the lower half of a data set would be the median of the median, which means it would split the graph at 25%

The two liquids will have the same temperature at 10 units of time after the start of both processes.

Given: Graph showing changes of temperature of liquid A when it is heated and liquid B when it is cooled

To find: The time when the two liquids have the same temperature

The given graph is plotted such that 'P' representing the temperature of the liquid is taken on y-axis and 'x' representing the time is taken on x-axis.

The graphs of temperature change with respect to time, of both liquids A and B are plotted in the same answer space and it is implied that both processes (heating of liquid A and cooling of liquid B) occurs simultaneously.

The time when both liquids have the same temperature is represented by graphs of both liquids having the same 'P' value at the same 'x' value. In other words, it is represented by a point in the answer space at which the graphs of temperature of both liquids intersect.

As can be seen from the given figure, the graphs of temperature change of liquid A and B intersect at the point (10, 30), that is at 'x = 10'.

Since 'x' represents the time, this implies that the two liquids will have the same temperature at 10 units of time after the start of the experiment (x = 0).

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Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Indices Law :

[tex] \frac{ {a}^{m} }{ {a}^{n} } ⇒ {a}^{m - n} [/tex]

So for this question,

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = {7}^{ - 3 - ( - 5)} = {7}^{ - 3 + 5} = {7}^{2} [/tex]

Answer :

7²

[tex] \frac{ {7}^{ - 3} }{ {7}^{ - 5} } = \\ {7}^{ - 3 - ( - 5)} = \\ {7}^{ - 3 + 5} = {?}^{2} [/tex]

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

===================================================

Explanation:

The only given number here is the 20 degree angle. So we'll start with that. This is an inscribed angle, which doubles to 2*20 = 40, and this is the measure of the arc the inscribed angle cuts off (inscribed angle theorem). Consequently, it means that central angle b is also 40 degrees.

With b = 40, we can see that c = 180-b = 180-40 = 140. This is because b+c = 180 as the two angles are supplementary.

Answer:

140 degrees

Step-by-step explanation:

If the given angle is 20 degrees then the other unknown angle would also be 20 degrees because this triangle is an isosceles triangle. 20+20+20=180 proving the triangle sum theorem.

Answer:

y = | x-5|

Step-by-step explanation:

y = |x-h| +k  where (h,k) is the center of the "v"

The "v" is located at (5,) so h=5 and k = 0

y = | x-5| +0

Answer:

see below

Step-by-step explanation:

The formula for a geometric sequence is

an = a1 * r^ (n-1)  where a1 is the first term and r is the common ratio

The common ratio is  found by taking the second term and dividing it by the first term

a) 1, 2,4.........

a1 = 1

r = 2/1 = 2

an = 1 * ( 2) ^ (n-1)

Let n = 4

a4 = 1 * 2^ (4-1) = 1 * 2^3 = 8

b)50, 20, 8.........

a1 = 50

r = 50/20= 5/2

an = 50 * ( 5/2) ^ (n-1)

Let n = 4

a4 = 50 * (5/2)^ (4-1) = 50 * (5/2)^3 = 3125/4

Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

(brainliest would be appreciated?)

Answer:

g(x) = –log2(x + 2)

Step-by-step explanation:

got it right on the assignment

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = log 2x

The function is reflected over the x-axis, then the function will be

h(x) = - log 2x

And shifting left by 2 units, then replace x with (x + 2). Then the equation will be

g(x) = - log 2(x + 2)

g(x) = - log 2x + 4

The function that represents the function f(x) is reflected over the x-axis and shifted left by 2 units will be g(x) = - log 2x + 4.

The graph is given below.

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THIS MIGHT NOT BE RIGHT CAUSE I'M SICK

Answer:

The correct option is (B).

Step-by-step explanation:

In this case, we need to test whether the claim made by the new brand of gym shoe is correct or not.

Claim: A new brand of gym shoe claims to add up to 2 inches to an athlete’s vertical leaps.

So, we need to test whether the average vertical leap of all the athletes increased by 2 inches or not after using the new brand of gym shoe.

The sample procedure would be to compute the average vertical leap of a group of athletes in their regular shoes (or a different pair) and the average vertical leap of a group of athletes in their new shoes.

Compare the two averages to see whether the difference is 2 inches or not.

The experimental group would be the one with the new shoes and the control group would be the one with the different pair of shoes.

Thus, the correct option is (B).

Answer:

B) Find the average vertical leap of all the athletes in their regular shoes. Give the experimental group the new shoes and the control group a different pair of shoes. Find the average vertical leap of the athletes in both groups. Compare the increases in vertical leap for each group.

Step-by-step explanation:

Answer:

Step-by-step explanation:

3) G

Step-by-step explanation:

Q(-1,-1) R(3,1) S(2,-4)

x+2 y+3 translation then rotation 180 (x,y) be (-x,-y)

Q -1+2 -1+3 (1,2) (-1,-2)

R 3+2 1+3 (5,4) (-5,-4)

S 2+2 -4+3 (4,-1)